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Simplifying 5n + -2 = -7 + 6n Reorder the terms: -2 + 5n = -7 + 6n Solving -2 + 5n = -7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -2 + 5n + -6n = -7 + 6n + -6n Combine like terms: 5n + -6n = -1n -2 + -1n = -7 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + -1n = -7 + 0 -2 + -1n = -7 Add '2' to each side of the equation. -2 + 2 + -1n = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = -7 + 2 -1n = -7 + 2 Combine like terms: -7 + 2 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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